North Laurel High School
Geometry Daily Pacing Map Last Revised: 5/15/12
1Unit 1-
Basics of Geometry
G.CO.1
I can identify the undefined notions used in geometry (point, line, plane, distance) and describe their characteristics. / 2
Unit 1-
Basics of Geometry
G.CO.1
I can identify angles, circles, perpendicular lines, parallel lines, rays, and line segments. / 3
Unit 1-
Basics of Geometry
G.CO.1
I can identify angles, circles, perpendicular lines, parallel lines, rays, and line segments. / 4
Unit 1-
Basics of Geometry
G.CO.1
I can define angles, circles, perpendicular lines, parallel lines, rays, and lines segments precisely using the undefined terms and “if-then” and “iff” statements. / 5
Unit 1-
Basics of Geometry
G.CO.1
I can define angles, circles, perpendicular lines, parallel lines, rays, and lines segments precisely using the undefined terms and “if-then” and “iff” statements.
Quiz
6
Unit 1-
Distance and Midpoint
G.GPE.4
I can use the distance and midpoint formulas to prove congruence. / 7
Unit 1-
Distance and Midpoint
G.GPE.4
I can use the distance and midpoint formulas to prove congruence.
Quiz / 8
Unit 1-
Transformations
G.CO.2
I can draw transformations of reflections, rotations, translations, and combinations of these using graph paper, transparencies, and/or geometry software. / 9
Unit 1-
Transformations
G.CO.2
I can draw transformations of reflections, rotations, translations, and combinations of these using graph paper, transparencies, and/or geometry software. / 10
Unit 1-
Transformations
G.CO.2
-I can determine the coordinates for the image of a figure when a transformation rule is applied to the preimage.
-I can distinguish between transformations that are rigid and those that are not.
11
Unit 1-
Transformations
G.CO.2
-I can determine the coordinates for the image of a figure when a transformation rule is applied to the preimage.
-I can distinguish between transformations that are rigid and those that are not. / 12
Unit 1-
Transformations
G.CO.3
-I can describe and illustrate how a figure is mapped onto itself using transformations.
-I can calculate the number of lines of reflection symmetry and the degree of rotational symmetry of any regular polygon. / 13
Unit 1-
Transformations
G.CO.3
-I can describe and illustrate how a figure is mapped onto itself using transformations.
-I can calculate the number of lines of reflection symmetry and the degree of rotational symmetry of any regular polygon.
Quiz / 14
Unit 1-
Transformations
G.CO.4
I can construct the reflection definition by connecting any point on the preimage to its corresponding point on the reflected image and describing the line segment’s relationship to the line of reflection / 15
Unit 1-
Transformations
G.CO.4
I can construct the translation definition by connecting any point on the preimage to its corresponding point on the translated image, and connecting a second point on the preimage to its corresponding point on the translated image, and describing how the two segments are equal in length, point the same direction, and are parallel.
16
Unit 1-
Transformations
G.CO.4
I can construct the rotation definition by connecting the center of rotation to any point on the preimage and to its corresponding point on the rotated image, and describing the measure of the angle formed and the equal measures of the segments that formed the angle as part of the definition. / 17
Flex day use for remediation and differentiation. / 18
Mid Term Test / 19
Unit 1-
Transformations
G.CO.5
-I can draw specific transformations.
-I can predict and verify the sequence of transformations that will map a figure onto another. / 20
Unit 1-
Transformations
G.CO.5
-I can draw specific transformations.
-I can predict and verify the sequence of transformations that will map a figure onto another.
21
Unit 1-
Transformations
G.CO.6
I can define rigid motions as reflections, rotations, translations, and combinations of these, all preserving distance and angle measure. / 22
Unit 1-
Transformations
G.CO.6
I can define congruent figures as figures that have the same size and shape and state that a composition of rigid motions will map one congruent figure onto another. / 23
Unit 1-
Transformations
G.CO.6
I can determine if two figures are congruent by verifying if a series of rigid motions will map one figure onto another
Quiz / 24
Unit 1-
Proofs
G.CO.9
I can correctly interpret geometric diagrams by identifying what can and cannot be assumed. / 25
Unit 1-
Proofs
G.CO.9
I can order statements based on the Law of Syllogism when constructing my proof.
26
Unit 1-
Proofs
G.CO.9
I can identify and use the properties of congruence and equality (reflexive, symmetric, transitive) in my proofs. / 27
Unit 1-
Proofs
G.CO.9
I can use theorems, postulates, or definitions to prove theorems about lines, and angles, including:
*Vertical angles are congruent
*a transversal with parallel lines creates congruent and supplementary angles.
*points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoint. / 28
Unit 1-
Proofs
G.CO.9
I can use theorems, postulates, or definitions to prove theorems about lines, and angles, including:
*Vertical angles are congruent
*a transversal with parallel lines creates congruent and supplementary angles.
*points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoint. / 29
Unit 1-
Proofs
G.CO.9
I can use theorems, postulates, or definitions to prove theorems about lines, and angles, including:
*Vertical angles are congruent
*a transversal with parallel lines creates congruent and supplementary angles.
*points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoint.
Quiz / 30
Unit 1-
Constructions
G.CO.12
I can identify the tools used in formal constructions.
I can use tools and methods to precisely copy a segment, copy an angle, bisect a segment, bisect and angle, construct perpendicular lines and bisectors, and construct a line parallel to a given line through a point not on the line.
31
Unit 1-
Constructions
G.CO.12
I can identify the tools used in formal constructions.
I can use tools and methods to precisely copy a segment, copy an angle, bisect a segment, bisect and angle, construct perpendicular lines and bisectors, and construct a line parallel to a given line through a point not on the line. / 32
Unit 1-
Constructions
G.CO.12
I can informally perform the constructions listed above using string, reflective devices, paper folding, and/or geometric software. / 33
Flex day use for remediation and differentiation. / 34
Flex day use for remediation and differentiation. / 35
UNIT TEST
36
Unit 2-
Triangles
G.CO.7
I can define and classify a triangle.
I can identify corresponding sides and corresponding angles of congruent triangles. / 37
Unit 2-
Triangles
G.CO.7
I can define and classify a triangle.
I can identify corresponding sides and corresponding angles of congruent triangles. / 38
Unit 2-
Triangles/Congruence
G.CO.7
I can identify corresponding sides and corresponding angles of congruent triangles. / 39
Unit 2-
Triangles/Congruence
G.CO.7
I can demonstrate that when distance is preserved and angle measure is preserved the triangles must also be congruent. / 40
FLEX DAY USED FOR REMEDIATION AND DIFFERENTIATION
Quiz
41
Unit 2-
Triangles
G.CO.8
I can define rigid motions as reflections, rotations, translations, and combinations of these, all of which preserve distance and angle measure. / 42
Unit 2-
Triangles
G.CO.8
I can list the sufficient conditions to prove triangles are congruent. / 43
Unit 2-
Triangles
G.CO.8
I can map a triangle with one of the sufficient conditions onto the original triangle and show that corresponding sides and angles are congruent. / 44
Unit 2-
Triangles
G.CO.8
I can map a triangle with one of the sufficient conditions onto the original triangle and show that corresponding sides and corresponding angles are congruent. / 45
FLEX DAY USED FOR REMEDIATION AND DIFFERENTIATION
Quiz
46
Unit 2-
Proofs
G.CO.10
I can prove the following theorems about triangles:
*Interior angles of a triangle sum to 180
*Base angles of isosceles triangles are congruent
*Segment joining midpoints of two sides of a triangle is parallel to the third side and ½ its length.
*The medians of a triangle meet at one point. / 47
Unit 2-
Proofs
G.CO.10
I can prove the following theorems about triangles:
*Interior angles of a triangle sum to 180
*Base angles of isosceles triangles are congruent
*Segment joining midpoints of two sides of a triangle is parallel to the third side and ½ its length.
*The medians of a triangle meet at one point. / 48
Unit 2-
Proofs
G.CO.10
I can prove the following theorems about triangles:
*Interior angles of a triangle sum to 180
*Base angles of isosceles triangles are congruent
*Segment joining midpoints of two sides of a triangle is parallel to the third side and ½ its length.
*The medians of a triangle meet at one point.
Quiz / 49
Unit 2-
Dilations
G.SRT.1
I can define dilation.
I can perform a dilation with a given center and scale factor on a figure in the coordinate system. / 50
Unit 2-
Dilations
G.SRT.1
I can verify that when a side passes through the center of dilation, the side and its image lie on the same line.
I can verify that corresponding side of the preimage and images are parallel.
51
Unit 2-
Dilations
G.SRT.1
I can verify that a side length of the image is equal to the scale factor multiplied by the corresponding side length of the preimage. / 52
FLEX DAY USED FOR REMEDIATION AND DIFFERENTIATION
Quiz / 53
Unit 2-
Similarity
G.SRT.2
I can define similarity as a composition of rigid motions followed by dilations in which angle measure is preserved and side length is proportional. / 54
Unit 2-
Similarity
G.SRT.2
I can identify corresponding sides and corresponding angles of similar triangles.
I can demonstrate that in a pair of similar triangles, corresponding angles are congruent and sides are proportional. / 55
Unit 2-
Similarity
G.SRT.2
I can determine that two figure are similar by verifying that angle measure is preserved and corresponding sides are proportional.
56
Unit 2-
Similarity
G.SRT.2
I can determine that two figure are similar by verifying that angle measure is preserved and corresponding sides are proportional.
Quiz / 57
Unit 2-
Similarity
G.SRT.3
I can show and explain that when two angle measures are known the third angle measure is also known. / 58
Unit 2-
Similarity
G.SRT.3
I can conclude and explain that AA similarity is a sufficient condition for two triangles to be similar. / 59
Unit 2-
Proofs
G.SRT.4
I can prove the following:
· A line parallel to one side of a triangle divides the other two proportionally.
The Pythagorean Theorem proved using triangle similarity. / 60
Unit 2-
Proofs
G.SRT.4
I can prove the following:
· If a line divides two sides of a triangle proportionally it is parallel to the third side.
The Pythagorean Theorem proved using triangle similarity.
61
Unit 2-
Congruence/Similarity
G.SRT.5
I can use triangle congruence and triangle similarity to prove relationships in geometric figures. / 62
Unit 2-
Congruence/Similarity
G.SRT.5
I can use triangle congruence and triangle similarity to prove relationships in geometric figures. / 63
Mid Term Exam / 64
Unit 2-
Trigonometry
G.SRT.6
I can demonstrate that within a right triangle, line segments parallel to a leg create similar triangles by AA similarity. / 65
Unit 2-
Trigonometry
G.SRT.6
I can use characteristics of similar figures to justify the trig. ratios.
I can define the trig ratios for acute angles in a right triangle.
66
Unit 2-
Trigonometry
G.SRT.6
I can use division and the Pythagorean Theorem to prove that sin2 + cos2 = 1 / 67
Unit 2-
Trigonometry
G.SRT.7
I can define complementary angles.
I can calculate sine and cosine ratios for acute angles in a right triangle when given two side lengths. / 68
Unit 2-
Trigonometry
G.SRT.7
I can define complementary angles.
I can calculate sine and cosine ratios for acute angles in a right triangle when given two side lengths. / 69
Unit 2-
Trigonometry
G.SRT.7
I can use a diagram of a right triangle to explain that for a pair of complementary angles A and B, the sine of A is equal to the cosine of B and vice versa. / 70
Unit 2-
Trigonometry
G.SRT.8
I can use angle measures to estimate side lengths.
71
Unit 2-
Trigonometry
G.SRT.8
I can use side lengths to estimate angle measures.
Quiz / 72
Unit 2-
Trigonometry
G.SRT.8
I can solve right triangles by finding the measures of all sides and all angles.
I can use sine, cosine, tangent, and their inverses to solve for the unknown side lengths and angle measures of a right triangle.
I can use the Pythagorean theorem to solve for an unknown side length of a right triangle. / 73
Unit 2-
Trigonometry
G.SRT.8
I can draw right triangles that describe real world problems and label the sides and angles with their given measures.
I can solve application problems involving right triangles. Including angle of elevation and depression, navigation, and surveying. / 74
Unit 2-
Trigonometry
G.SRT.8
I can draw right triangles that describe real world problems and label the sides and angles with their given measures.
I can solve application problems involving right triangles. Including angle of elevation and depression, navigation, and surveying. / 75
Unit 2-
Segment Partitioning
G.GPE.6
I can calculate the point(s) on a directed line segment whose endpoints are (x1,y1) and (x2,y2) that partitions the segment into a given ration, r1 to r2 using a formula.
76
Unit 2-
Segment Partitioning
G.GPE.6
I can calculate the point(s) on a directed line segment whose endpoints are (x1,y1) and (x2,y2) that partitions the segment into a given ration, r1 to r2 using a formula. / 77
FLEX DAY USED FOR REMEDIATION AND DIFFERENTIATION / 78
FLEX DAY USED FOR REMEDIATION AND DIFFERENTIATION / 79
Exam / 80
Exam
91
Unit 3-
Polygons
I can define and identify polygons.
I can classify quadrilaterals. / 92
Unit 3-
Polygons
I can define and identify polygons.
I can classify quadrilaterals. / 93